Function expansion methods for solving autonomous nonlinear partial differential equations

2011/10/02 by Mahouton Norbert Hounkonnou, Hounkonnou, Mahouton Norbert, Pascal Alain Dkengne Sielenou +1
Mathematics · Physics and Astronomy · #34A05 #34A34 #35A25 #FOS: Physical sciences #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Mathematical Physics (math-ph) #Numerical methods for differential equations #math-ph #math.MP #msc:34A05 #msc:34A34 #msc:35A25

paper · pdf · doi:10.48550/arxiv.1110.0238

arxiv created 2011/10/02 · openalex publication_date 2011/10/02 · arxiv updated 2011/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we propose some algorithms for analytical solution construction to nonlinear polynomial partial differential equations with constant function coefficients. These schemes are based on one-(single), two- (double) or three- (triple) function expansion methods. Most of the existing expansion function methods are well recovered from the mentioned schemes. The effectiveness of these methods has been tested on some nonlinear partial differential equations (NLPDEs) describing important phenomena in physics.

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